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Ratio Atlas
Atlas › Integer Profiles › Node 462,000
462,000
24 × 3 × 53 × 7 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 7 × 11
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 1,857,024
Proper Divisor Sum 1,395,024
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #461983 ← → #462013

Radix Representation

Decimal 462000
Binary 1110000110010110000 (19 bits)
Octal 0o1606260
Hexadecimal 0x70CB0

Divisor Catalog (60 of 160)

1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 33 35 40 42 44 48 50 55 56 60 66 70 75 77 80 84 88 100 105 110 112 120 125 132 140 150 154 165 168 175 176 200 210 220 231 240 250 264 275

Collatz Trajectory (50 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

462,000 231,000 115,500 57,750 28,875 86,626 43,313 129,940 64,970 32,485 97,456 48,728 24,364 12,182 6,091 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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